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Finding the Fourth Proportional to 3,517.71, 5,271.63 and 2,734.13

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Solution

The fourth proportional to 3,517.71, 5,271.63 and 2,734.13 is: 4,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.71 : 5,271.63 = 2,734.13 : x
  2. Step 2: Convert to fraction form
    3,517.71/5,271.63 = 2,734.13/x
  3. Step 3: Cross multiply
    3,517.71x = 5,271.63 × 2,734.13
  4. Step 4: Simplify right side
    3,517.71x = 14,413,308.06
  5. Step 5: Solve for x
    x = 14,413,308.06/3,517.71
  6. Step 6: Final answer
    x = 4,097.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.